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Mean free path effects in the shock-implosion problem

Goldsworthy, M. J. and Pullin, D. I. (2009) Mean free path effects in the shock-implosion problem. Physics of Fluids, 21 (2). 026101. ISSN 1070-6631.

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The effects of finite Knudsen number in the problem of a cylindrically imploding shock wave in a monatomic gas are investigated. Numerical solutions of the flow field are obtained with initial conditions in the ranges 1.25 ≤ M0 ≤ 5 and 0.005 ≤ Kn0 ≤ 0.1 using the direct simulation Monte Carlo method. Results show that as Kn0 decreases and M0 increases, the maximum implosion temperature scales increasingly well with the similarity exponent predicted in the Guderley solution for an imploding strong shock in the Euler limit. When the radius of curvature is large, the cylindrical shock thickness is found to be almost identical to the thickness of a planar shock for a given shock Mach number. For small radii of curvature, the cylindrical shock was found to be thicker than the corresponding planar shock.

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Additional Information:© 2009 American Institute of Physics. Received 24 April 2008; accepted 23 December 2008; published 11 February 2009.
Subject Keywords:explosions; flow simulation; Knudsen flow; Mach number; Monte Carlo methods; shock waves
Issue or Number:2
Record Number:CaltechAUTHORS:20090414-090059769
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13964
Deposited By: Tony Diaz
Deposited On:05 Aug 2009 16:54
Last Modified:03 Oct 2019 00:45

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